| Spanning Annuli in 3—manifolds |
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| 引用本文： | 董笑咏,雷逢春.Spanning Annuli in 3—manifolds[J].数学季刊,1997,12(4):107-110. |
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| 作者姓名： | 董笑咏 雷逢春 |
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| 作者单位： | Dong Xiaoyong (Departnzent of Mathematics，Inner Mongolia National Teacher's College，Tongliao) Lei Fengchun (Department of Mathematics，Jilin Underaty，Changchun) |
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| 摘 要： | Al3-manifOldsandsurfacesconsideredinthisPaperareassumedtobecompactandori-entable,andallconcePtsandnotationsnotdefinedinthepaperareStandardfsee,forexample2,3j.AcompressionbodyHisconstructedbyadding2-handlestoSXIalongacollectionofpairwisdisjointsimpleclosedcurvesonSX{o},andcaPpingoffanyresulting2-spherebound-arycomponentSwith3-balls,whereSisaconnectedclosedorientablesurface.ThecomponentSX{1}Of8Hisdenoted8 Handthesurface8H-8 H,whichmayormaynotbeconnect-ed,isdenoted8H.If8H=gi,Hisahandleb…
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| 关 键 词： | 3－流形 跨平环 HeegAArD分裂 |
Spanning Annuli in 3-manifolds |
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| Dong Xiaoyong.Spanning Annuli in 3-manifolds[J].Chinese Quarterly Journal of Mathematics,1997,12(4):107-110. |
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| Authors: | Dong Xiaoyong |
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| Institution: | [1]Department [2]of |
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| Abstract: | An essential annulus A properly imbedded in a 3-manifold M is said to be spanning with respect to a Hereaard splitting VUFW of M if the two components of A are lying in A and separately and A intersects the Heegaard surface F in one circle. In this paper,a sufficient and necessary condition that there is a spanning annulus A in a 3-manifold M with respect to the Heegaard splitting VUFW is given. |
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| Keywords: | Heegaard splitting spanning annulus |
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